Calculate Weighted Distribution

A calculator for a distribution, where following a proportion the first gets more than the second, this gets more than the third, and so forth. An example of the use of this distribution is for prize awards. Often, this is calculated with a weighting of 50%, the first one gets the half of the amount, the second one the half of the half, which is one fourth, and so on. Always a rest will remain, at a weighting of 50% or more this can quickly become small and practically go to zero.